US8731215B2 - Loudness modification of multichannel audio signals - Google Patents
Loudness modification of multichannel audio signals Download PDFInfo
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- US8731215B2 US8731215B2 US13/338,143 US201113338143A US8731215B2 US 8731215 B2 US8731215 B2 US 8731215B2 US 201113338143 A US201113338143 A US 201113338143A US 8731215 B2 US8731215 B2 US 8731215B2
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G3/00—Gain control in amplifiers or frequency changers without distortion of the input signal
- H03G3/20—Automatic control
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G3/00—Gain control in amplifiers or frequency changers without distortion of the input signal
- H03G3/02—Manually-operated control
- H03G3/04—Manually-operated control in untuned amplifiers
- H03G3/10—Manually-operated control in untuned amplifiers having semiconductor devices
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G9/00—Combinations of two or more types of control, e.g. gain control and tone control
- H03G9/005—Combinations of two or more types of control, e.g. gain control and tone control of digital or coded signals
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G9/00—Combinations of two or more types of control, e.g. gain control and tone control
- H03G9/02—Combinations of two or more types of control, e.g. gain control and tone control in untuned amplifiers
- H03G9/025—Combinations of two or more types of control, e.g. gain control and tone control in untuned amplifiers frequency-dependent volume compression or expansion, e.g. multiple-band systems
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G9/00—Combinations of two or more types of control, e.g. gain control and tone control
- H03G9/02—Combinations of two or more types of control, e.g. gain control and tone control in untuned amplifiers
- H03G9/12—Combinations of two or more types of control, e.g. gain control and tone control in untuned amplifiers having semiconductor devices
- H03G9/18—Combinations of two or more types of control, e.g. gain control and tone control in untuned amplifiers having semiconductor devices for tone control and volume expansion or compression
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04R—LOUDSPEAKERS, MICROPHONES, GRAMOPHONE PICK-UPS OR LIKE ACOUSTIC ELECTROMECHANICAL TRANSDUCERS; DEAF-AID SETS; PUBLIC ADDRESS SYSTEMS
- H04R5/00—Stereophonic arrangements
- H04R5/04—Circuit arrangements, e.g. for selective connection of amplifier inputs/outputs to loudspeakers, for loudspeaker detection, or for adaptation of settings to personal preferences or hearing impairments
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04S—STEREOPHONIC SYSTEMS
- H04S2400/00—Details of stereophonic systems covered by H04S but not provided for in its groups
- H04S2400/13—Aspects of volume control, not necessarily automatic, in stereophonic sound systems
Definitions
- the invention relates to audio signal processing.
- the invention relates to adjusting the overall perceived loudness of a multichannel audio signal while retaining approximately the relative perceived loudness between all the channels in order to preserve the perceived spatial balance.
- the invention includes not only methods but also corresponding computer programs and apparatus.
- weighted power measures operate by taking the input audio signal, applying a known filter that emphasizes more perceptibly sensitive frequencies while deemphasizing less perceptibly sensitive frequencies, and then averaging the power of the filtered signal over a predetermined length of time.
- Psychoacoustic methods are typically more complex and aim to better model the workings of the human ear.
- FIG. 1 shows the growth of loudness of both a 1 kHz tone and uniform exciting noise (UEN, noise with equal power in all critical bands).
- UPN uniform exciting noise
- FIG. 1 shows the non-linear behavior for a 1 kHz tone
- the equal loudness contours of ISO 226 in FIG. 2 show the same behavior but as a function of frequency for sinusoidal tones.
- the contour lines, at increments of 10 phon, show the sound pressure levels across frequency that the human ear perceives as equally loud.
- the lowest line represents the “hearing threshold” as a function of frequency. At lower levels the lines of equal loudness compress closer together such that relatively smaller changes in sound pressure level cause more significant changes in perceived loudness than at higher levels.
- the non-linear and frequency varying behavior of the human auditory system has a direct impact on the perceived timbre and imaging of audio signals.
- a complex, wideband audio signal for example music, presented at a particular sound pressure level is perceived as having a particular spectral balance or timbre. If the same audio signal is presented at a different sound pressure level and, as shown in FIG. 2 , the growth of perceived loudness is different for different frequencies, the perceived spectral balance or timbre of the audio signal will be different.
- a complex, wideband multichannel audio signal, presented over multiple loudspeakers, is also perceived as having a particular spatial balance.
- Spatial balance refers to the impression of the location of sound elements in the mix as well as the overall diffuseness of the mix due to the relative level of audio signals between two or more loudspeakers. If the same multichannel audio signal is presented at a different overall sound pressure level, the non-linear growth in perceived loudness and differing growth of loudness across frequency leads to a change in the perceived spatial balance of the multichannel audio signal. This is especially apparent when there is a significant difference in level between channels. Quieter channels will be affected differently to louder channels which, for example, can lead to quiet channels dropping below the hearing threshold and audibly disappearing when the overall level is reduced.
- a desired loudness scaling or target loudness may be achieved by, in essence, inverting the loudness measurement model and calculating either a wideband gain or multiband gains that can be applied to the audio signal.
- Multichannel loudness is typically calculated as a function of the sum of the power in each channel.
- the multichannel loudness is a simple sum of the weighted power in each channel.
- a critical band power spectrum or excitation spectrum is first calculated for each channel and the excitation spectrums are then summed across all the channels to create a single excitation spectrum.
- Each excitation band is passed through a non-linearity, such as FIG. 1 , to create a measure of loudness per band, known as specific loudness, and the specific loudness is summed across frequency to calculate a single, wideband loudness value.
- the function of the sum of the power in each channel may include additional per channel weightings to take into account head related transfer function (HRTF) effects.
- HRTF head related transfer function
- the loudness of a multichannel signal can be calculated relatively simply, it is possible to calculate a single gain that, when applied to all channels, causes an overall desired change in loudness. However, this single gain may have undesirable effects on other attributes of the multichannel presentation. If differences exist in the relative signal levels between channels in the multichannel presentation and if all channels are scaled by the same gain, quieter channels will have a larger perceived change in their loudness than louder channels. This may cause a change in the perceived spatial balance that is worst when some channels fall below the threshold of hearing. For example, in many 5.1 audio mixes for film, the front channels contain signals of a significantly higher level than the surround channels. The center channel in particular is generally used to reproduce dialogue.
- the lower level surround channels may contain signals that create a sense of diffuseness in the mix. For example, they may contain the reverberant portion of the dialogue in order to simulate the effect of someone speaking in a large room. As the loudness of such a signal is decreased by applying the same gain to all channels, the surround channels decrease in loudness more rapidly than the front channels, eventually falling below the threshold of hearing. The result is a significant collapse in the intended diffuse spatial balance.
- a desired scaling in the overall perceived loudness of a multichannel presentation may be achieved to a desired accuracy, while retaining, to a desired accuracy, the relative perceived loudness among channels in order to preserve a perceived spatial balance or timbre.
- FIG. 1 shows the non-linear growth of loudness for both a 1 kHz tone and uniform exciting noise (UEN).
- UNN uniform exciting noise
- FIG. 2 shows the equal loudness contours of ISO 226.
- the horizontal scale is frequency in Hertz (logarithmic base 10 scale) and the vertical scale is sound pressure level in decibels.
- FIG. 3 shows a set of critical band filter responses useful for computing an excitation signal for a psychoacoustic loudness model.
- FIGS. 4 a - f depict the specific loudness spectra and gains resulting from the modification of the specific loudness of a multichannel audio signal.
- the invention is directed to a method for scaling, by a desired amount s m , the overall perceived loudness L m of a multichannel audio signal, wherein perceived loudness is a nonlinear function of signal power P, by scaling the perceived loudness of each individual channel L c by an amount substantially equal to the desired amount of scaling of the overall perceived loudness of all channels s m , subject to accuracy in calculations and the desired accuracy of the overall perceived loudness scaling s m .
- the perceived loudness of each individual channel may be scaled by changing the gain of each individual channel, wherein gain is a scaling of a channel's power.
- the loudness scaling applied to each channel is modified so as to reduce the difference between the actual overall loudness scaling and the desired amount of overall loudness scaling.
- the loudness scaling applied to each channel may be modified by applying a common multiplier to the gain of each channel or by adding a common scaling offset to the scaling of each channel.
- the perceived loudness of each channel and the overall perceived loudness may both be measured in each of a plurality of frequency bands and the amplitude of each channel adjusted in such frequency bands.
- the frequency bands may be critical bands.
- the perceived loudness of each channel and the overall perceived loudness may both be measured in a single wideband frequency band.
- the invention may be practiced by apparatus adapted to perform any of the above-mentioned methods.
- the invention may be practiced by a computer program, stored on a computer-readable medium for causing a computer to perform any of the above-mentioned methods.
- the measure of loudness L may be described as a function F of signal power P.
- Signal power P is a power measure of the audio signal. This could be the A, B or C weighted power or a multiband excitation spectrum. See, for example, ANSI S1.42-2001 (R2006), American National Standard Design Response of Weighting Networks for Acoustical Measurements.
- the function F is a non-linearity designed to approximate variations in the growth of loudness. This function could be as simple as the single UEN function of FIG.
- a gain scaling g of the signal power P may be calculated such that the gain change results in a particular, desired scaling s of the perceived loudness.
- the overall (all channel) measure of loudness L m of a multichannel audio signal may, in practice, be approximated as a function of the sum of the per channel power P c of each of the channels in the multichannel audio signal.
- the total number of channels is C.
- the sum of the per-channel power may be weighted to take into account head related transfer function (HRTF) effects. That is, signals from different spatial directions may have slightly different, relative perceived loudness. If one knows or assumes where the listener is in relation to the loudspeakers reproducing the multiple channels, then one may build a model of the signals arriving at a listener's ears as a function of the individual channel signals (generally, filtered and summed versions of the channel signals). The loudness may then be computed from such ear signals. In practice, however, performing a power sum of the channel signals works well for most listening environments.
- HRTF head related transfer function
- a single gain g m applied to all channels may be calculated such that the result is a desired scaling s m of the overall perceived loudness.
- the computation of the gain g m will be most influenced by the channels with the greatest amount of power. If other channels have significantly less power, then the gain g m may cause a significantly different perceived change in these lower level channels in comparison to the higher level channels due to the non-linearity of human loudness perception. If the scaling s m corresponds to an attenuation in loudness, too much attenuation may be applied to these lower level channels. As a result, the relative contribution of such low level channels to the spatial balance of the mix will be diminished, and at worst, the channels will become completely inaudible.
- the present invention addresses the problem of maintaining the spatial balance of a multichannel audio signal while imparting a desired change to its overall loudness.
- Accurately measuring and characterizing the spatial balance of a multichannel audio signal is highly complex. Portions of the spectra of the various channels may fuse perceptually into virtual sources located between the speakers through which the channels are played, while other portions of the channels may combine to form the perception of a diffuse sound field surrounding the listener. Measuring the perceived loudness of these various components in relation to each other is not a well understood problem as it involves the complex phenomenon of certain audio signal components partially masking other components. The degree of masking is a function of the level of each source as well as the spatial location and diffuseness of each source. Even if one were able to accurately measure all these aspects of the spatial balance, attempting to preserve their relative measures as the overall loudness is scaled would likely involve a complex non-linear optimization process.
- the perceived loudness of each individual channel L c may be scaled by an amount of scaling s c substantially equal to a desired amount of scaling, s m , of the overall perceived loudness of all channels, subject to accuracy in calculations and the desired accuracy of the overall perceived loudness scaling
- a scaling in the perceived loudness of each individual channel L c may be accomplished by controlling the individual gain g c of each channel (where such gain g c is a scaling of the channel's power P c ).
- g c ⁇ F - 1 ⁇ ⁇ ( s m + ⁇ ⁇ ⁇ s c ) ⁇ L c ⁇ P c ⁇ ⁇ ⁇ for ⁇ ⁇ each ⁇ ⁇ of ⁇ ⁇ C ⁇ ⁇ channels ( 6 ⁇ f )
- the absolute value of ⁇ s m is made smaller. In the two implementation examples given below, it is, ideally, reduced to zero. However, the degree of the reduction in the absolute value of ⁇ s m may be traded off against the size of each channel scaling delta ⁇ s c so as to minimize audible channel loudness variation artifacts, in which case the ideal value of ⁇ s m is not zero.
- the two examples of correction implementations are next described below.
- the gain G is computed so that the overall loudness after the application of the gains g c ⁇ to each channel is equal to the original overall loudness scaled by the desired amount:
- This correction reduces the absolute value of the overall loudness scaling error ⁇ s m .
- the scaling error may not be zero as a result of calculation accuracy, signal processing time lags, etc.
- the size of each channel scaling delta ⁇ s c may be taken into account in limiting the degree of reduction of the ⁇ s m error factor.
- each channel's scaling delta ⁇ s c is not specified directly but rather implicitly through the calculation of G. Given G, one may rearrange Eqn. 6f to solve for each channel's scaling delta ⁇ s c as the ratio of the loudness of the particular channel after the application of the corrected channel gain g c ⁇ to the loudness of the original channel minus the desired overall loudness scaling:
- ⁇ ⁇ ⁇ s c F ⁇ ⁇ Gg c ⁇ P c ⁇ L m - s m ( 7 ⁇ c )
- the resulting correction gain G typically is close to unity and the corresponding channel scaling deltas are close to zero. As a result, the correction is not likely to cause any objectionable spatial changes.
- Seefeldt et al and Seefeldt disclose, among other things, an objective measure of perceived loudness based on a psychoacoustic model.
- the method first computes an excitation signal E[b,t] approximating the distribution of energy along the basilar membrane of the inner ear at critical band b during time block t.
- This excitation may be computed from the Short-time Discrete Fourier Transform (STDFT) of the audio signal as follows:
- E ⁇ [ b , t ] ⁇ b ⁇ E ⁇ [ b , t - 1 ] + ( 1 - ⁇ b ) ⁇ ⁇ k ⁇ ⁇ T ⁇ [ k ] ⁇ 2 ⁇ ⁇ C b ⁇ [ k ] ⁇ 2 ⁇ ⁇ X ⁇ [ k , t ] ⁇ 2 ( 9 )
- X[k,t] represents the STDFT of x[n] at time block t and bin k.
- T[k] represents the frequency response of a filter simulating the transmission of audio through the outer and middle ear
- C b [k] represents the frequency response of the basilar membrane at a location corresponding to critical band b.
- FIG. 3 depicts a suitable set of critical band filter responses in which forty bands are spaced uniformly along the Equivalent Rectangular Bandwidth (ERB) scale, as defined by Moore and Glasberg (B. C. J. Moore, B. Glasberg, T. Baer, “A Model for the Prediction of Thresholds, Loudness, and Partial Loudness,” Journal of the Audio Engineering Society , Vol. 45, No. 4, April 1997, pp. 224-240). Each filter shape is described by a rounded exponential function and the bands are distributed using a spacing of 1 ERB.
- the smoothing time constant ⁇ b in (9) may be advantageously chosen proportionate to the integration time of human loudness perception within band b.
- the excitation at each band is transformed into an excitation level that would generate the same loudness at 1 kHz.
- Specific loudness a measure of perceptual loudness distributed across frequency and time, is then computed from the transformed excitation, E 1kHz [b,t], through a compressive non-linearity.
- One such suitable function to compute the specific loudness N[b,t] is given by:
- N ⁇ [ b , t ] ⁇ ⁇ ( ( E 1 ⁇ kH ⁇ ⁇ z ⁇ [ b , t ] TQ 1 ⁇ kH ⁇ ⁇ z ) ⁇ - 1 ) ( 10 )
- TQ 1kHz is the threshold in quiet at 1 kHz
- ⁇ and ⁇ are chosen to match growth of loudness data as shown in FIG. 1 .
- L[t] represented in units of sone, is computed by summing the specific loudness across bands:
- a wideband gain g[t] which when multiplied by the audio signal makes the loudness of the adjusted audio equal to some desired target loudness, ⁇ circumflex over (L) ⁇ [t], as measured by the described psychoacoustic technique.
- the target loudness ⁇ circumflex over (L) ⁇ [t] may be computed in a variety of ways. For example, in the case of a volume control it may be computed as a fixed scaling of the original loudness L[t]. Alternatively, more sophisticated functions of the loudness L[t] may be used, such as an Automatic Gain Control (AGC) or Dynamic Range Control (DRC).
- AGC Automatic Gain Control
- DRC Dynamic Range Control
- g ⁇ [ t ] F L - 1 ⁇ ⁇ s ⁇ [ t ] ⁇ L ⁇ [ t ] ⁇ E ⁇ [ b , t ] ⁇ ⁇ for ⁇ ⁇ any ⁇ ⁇ b ( 12 ⁇ c )
- s[t] is the loudness scaling associated with ⁇ circumflex over (L) ⁇ [t] such that
- a wideband gain g[t] may instead compute a multiband gain g[b,t] which when applied to the original audio results in a modified audio signal whose specific loudness is substantially equal to some desired target specific loudness ⁇ circumflex over (N) ⁇ [b,t].
- a multiband gain instead of a wideband gain, control of the perceived spectral balance, or timbre, of the audio may be achieved.
- the target specific loudness may be computed as a band-independent scaling of the original specific loudness N[b,t], thereby preserving the original timbre of the audio as the volume is changed.
- g ⁇ [ b , t ] F N - 1 ⁇ ⁇ s ⁇ [ b , t ] ⁇ N ⁇ [ b , t ] ⁇ E ⁇ [ b , t ] ( 13 ⁇ c )
- s[b,t] is the specific loudness scaling associated with ⁇ circumflex over (N) ⁇ [b,t] such that
- L c [t] F L ⁇ E c [b,t] ⁇ (15a)
- N c [b,t] F N ⁇ E c [b,t] ⁇ (15b)
- the total loudness of the resulting modified multichannel audio signal may not exactly equal the total loudness of the original multichannel audio signal scaled by the desired amount. More specifically,
- FIGS. 4 a - 4 f are depicted plots of the specific loudness and multiband gains for the modification of a multichannel audio signal consisting of five channels: left, center, right, left-surround, and right-surround.
- This particular audio signal is dominated by dialogue in the center channel, with the remaining four channels containing ambience signals of a much lower level used to convey to the impression of being in a large hall.
- Examining the center channel (c 2) in FIG.
- the invention may be implemented in hardware or software, or a combination of both (e.g., programmable logic arrays). Unless otherwise specified, algorithms and processes included as part of the invention are not inherently related to any particular computer or other apparatus. In particular, various general-purpose machines may be used with programs written in accordance with the teachings herein, or it may be more convenient to construct more specialized apparatus (e.g., integrated circuits) to perform the required method steps. Thus, the invention may be implemented in one or more computer programs executing on one or more programmable computer systems each comprising at least one processor, at least one data storage system (including volatile and non-volatile memory and/or storage elements), at least one input device or port, and at least one output device or port. Program code is applied to input data to perform the functions described herein and generate output information. The output information is applied to one or more output devices, in known fashion.
- Program code is applied to input data to perform the functions described herein and generate output information.
- the output information is applied to one or more output devices, in known fashion.
- Each such program may be implemented in any desired computer language (including machine, assembly, or high level procedural, logical, or object oriented programming languages) to communicate with a computer system.
- the language may be a compiled or interpreted language.
- Each such computer program is preferably stored on or downloaded to a storage media or device (e.g., solid state memory or media, or magnetic or optical media) readable by a general or special purpose programmable computer, for configuring and operating the computer when the storage media or device is read by the computer system to perform the procedures described herein.
- a storage media or device e.g., solid state memory or media, or magnetic or optical media
- the inventive system may also be considered to be implemented as a computer-readable storage medium, configured with a computer program, where the storage medium so configured causes a computer system to operate in a specific and predefined manner to perform the functions described herein.
Abstract
Description
L=F{P} (1)
s·L=F{g·P} (2a)
Thus, gain g is a scaling of the power P, whereas s is a scaling of the loudness L.
Substituting the left hand side of Eqn. 6a with Eqn. 4a and gc with Eqn. 5b yields the equivalent expression:
or, rearranging,
The individual channel gains with the application of such a correction are then given by:
Solving for G yields:
One may solve Eqn. 8 for Δs and then compute the corresponding corrected channel gains gc Δ using Eqn. 6f in which Δsc=Δs for all channels. In practice, solving Eqn. 8 for Δs requires an iterative numerical technique and is therefore less desirable than the first correction implementation described.
Summary of Correction Examples |
Loudness Scaling (per | ||
Version | Gain (per channel) | channel) |
Version | Total gain of Ggc applied to each | Different scaling sm + |
1 | channel. G is the same for each | for each channel |
channel, but gc is different for each | ||
channel. | ||
Solve for each channel's gc using | The loudness scaling delta | |
Eqn. 5b and for common G using | Δsc is implicitly determined | |
Eqn. 7b | when solving for G | |
Version | A different gain gc Δ is applied to | Same scaling sm + Δs for |
2 | each channel. | each channel |
Solve for each channel's gc Δ using | Solve for the loudness | |
Eqn. 8 and Eqn. 6f in which | scaling delta Δs using | |
Δsc = Δs for all channels | Eqn. 8 | |
where X[k,t] represents the STDFT of x[n] at time block t and bin k. T[k] represents the frequency response of a filter simulating the transmission of audio through the outer and middle ear, and Cb[k] represents the frequency response of the basilar membrane at a location corresponding to critical band b.
where TQ1kHz is the threshold in quiet at 1 kHz and the constants β and α are chosen to match growth of loudness data as shown in
L[t]=F L {E[b,t]} (12a)
the gain g[t] is computed such that
{circumflex over (L)}[t]=F L {g[t]E[b,t]} (12b)
Rearranging (12a-b), one arrives at the solution
where s[t] is the loudness scaling associated with {circumflex over (L)}[t] such that
and the inverse function FL −1 is constrained to generate an excitation that is a wideband scaling of the original excitation E[b,t]. Due to the nature of the function FL (a non-linearity applied to each band followed by a summation across bands), a closed form solution for the inverse function FL −1 does not exist. Instead, an iterative technique described in said WO 2004/111994 A2 application may be used to solve for the gain g[t].
N[b,t]=F N {E[b,t]} (13a)
the gain g[b,t] is computed such that
{circumflex over (N)}[b,t]=F N {g[b,t]E[b,t]} (13b)
Rearranging (13a-b), one arrives at the solution
where s[b,t] is the specific loudness scaling associated with {circumflex over (N)}[b,t] such that
and a corresponding total loudness and specific loudness may be computed from the total excitation according to:
L m [t]=F L {E m [b,t]} (14b)
N m [b,t]=F N {E m [b,t]} (14c)
L c [t]=F L {E c [b,t]} (15a)
N c [b,t]=F N {E c [b,t]} (15b)
s m [t]L m [t]=F L {g m [t]E m [b,t]} (16a)
and in the second case solve for a multiband gain gm[b,t] such that
s m [b,t]N m [b,t]=F N {g m [b,t]E m [b,t]} (16b)
s m [t]L c [t]=F L {g c [t]E c [b,t]} (17a)
s m [b,t]N c [b,t]=F N {g c [b,t]E c [b,t]} (17b)
Claims (15)
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EP2002539A1 (en) | 2008-12-17 |
US9584083B2 (en) | 2017-02-28 |
ATE490596T1 (en) | 2010-12-15 |
US8600074B2 (en) | 2013-12-03 |
CN101411060B (en) | 2011-04-13 |
US20140211946A1 (en) | 2014-07-31 |
US20100202632A1 (en) | 2010-08-12 |
CN101411060A (en) | 2009-04-15 |
JP2009532982A (en) | 2009-09-10 |
JP5006384B2 (en) | 2012-08-22 |
US8019095B2 (en) | 2011-09-13 |
DE602007010912D1 (en) | 2011-01-13 |
WO2007123608A1 (en) | 2007-11-01 |
EP2002539B1 (en) | 2010-12-01 |
TWI517562B (en) | 2016-01-11 |
US20120106743A1 (en) | 2012-05-03 |
US20110311062A1 (en) | 2011-12-22 |
TW200810349A (en) | 2008-02-16 |
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